纤维布约束混凝土矩形柱的拐角效应分析及试验研究
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摘要
由于自然因素影响和人为因素的原因,现有的很多基础结构、设施,都急待进行加固和修复。FRP轻质高强的特性,使其在土木工程加固领域中异军突起,有着非常明显的优势。本文的主要内容是FRP加固钢筋混凝土柱即FRP约束混凝土的拐角效应和应力应变分布,通过分析,给出考虑混凝土柱拐角效应的承载力建议公式。
本文就FRP在土木工程中的应用结构形式以及其独特的优良性能进行阐述,描述了研究FRP约束钢筋混凝土柱的意义。陈述了FRP约束圆形、方形、矩形截面的混凝土柱体的应力、应变及相关参数模型研究的国内外动态,并对到目前为止关于这方面的研究成果进行了总结,并指出存在的问题。
根据FRP约束混凝土常采用的常规三轴受压强度模型形式,将现有矩形柱截面形状(倒角)对抗压强度影响的分析模型归纳为三种,即:倒角半径模型、有效约束面积模型、等效约束应力模型。在分析比较这三种模型的特点和不足的基础上,本文提出了等效圆柱直径模型的概念,即根据环压应力等效的原则,等代出对应的圆柱直径。此模型力学概念清楚,计算公式简洁。
本文对轴心和偏心两种受力状态进行有限元仿真,研究FRP布和混凝土沿柱截面的应变分布趋势,和拐角曲率半径对应变分布的影响。分别模拟了无滑移和无粘结工况,通过比较这两种极限状态来考虑介于这两种工况中的实际工况。在基本假设的前提下,从横向约束应力的主要参数(即倒角半径对f frp和D这两个参数的影响)着手来考虑拐角效应的影响,从倒角半径以及矩形截面的宽长比两方面考虑对极限承载力的影响,建立了FRP约束带倒角矩形截面混凝土柱的承载力计算公式,
本文对CFRP约束带倒角矩形柱的轴心和偏心受压进行试验,通过试验结果和理论的应变分布及承载力数值的对比分析,表明建立的有限元模型可以很好的模拟应变分布情况。另外,本文还整理了近年来143个圆柱、65个方柱以及36个矩形柱的试验数据,与本文建议公式的理论结果进行分析比较,理论结果与现有实验数据间的误差多在-10%～10%之间,表明本文建议公式有对工程实践有一定的参考价值。
Because of its configuration character and its unique excellent performance behaved in civil engineering, FRP is being widely applied in the reinforce field. The current research is focused on the FRP confined reinforced concrete columns. The models of FRP confined circular, square and rectangular sections based on stress, strain and other relative parameters are proposed recently, but these models still have some limitation and are hard to predict the reality accurately. Proposing a new formula of capacity, this thesis provides a more accurate model to emulate the effect of FRP confined circular, square and rectangular sections.
The intensity model based on traditional triaxial testing results is adopted. Models of reduction coefficient considering the section shape are collected and concluded into three species, that is, corner radius model, effective confined area model, and equivalent confining stress model. According to the principal of equivalent confining stress, the idea of equivalent diameter is proposed for the first time.
The strain distribution along the section and influence affected by corner radius are studied, using finite element analysis software to simulate circumstances under both axial compression and eccentrically load. The actual condition is investigated by simulating non-slip and unbonded conditions. The corner effect is researched from two parts (confining stress and equivalent diameter) which is the main parameter of confining stress, and then, propose suggest formula. Not only the affluence affected by corner radius is taken into account in this formula, but also the ratio of two side length in rectangular specimens.
The axial compression and eccentrically loaded experiments of CFRP-confined rectangular columns with corners are taken in this paper. The strain distribution of experiment and the theoretic results are compared and analyzed. Lots of experiment figures are compared with suggestion formula, which comes to a conclusion that the formula suggested by this paper has an adequate precision for actual project.
本文就FRP在土木工程中的应用结构形式以及其独特的优良性能进行阐述,描述了研究FRP约束钢筋混凝土柱的意义。陈述了FRP约束圆形、方形、矩形截面的混凝土柱体的应力、应变及相关参数模型研究的国内外动态,并对到目前为止关于这方面的研究成果进行了总结,并指出存在的问题。
根据FRP约束混凝土常采用的常规三轴受压强度模型形式,将现有矩形柱截面形状(倒角)对抗压强度影响的分析模型归纳为三种,即:倒角半径模型、有效约束面积模型、等效约束应力模型。在分析比较这三种模型的特点和不足的基础上,本文提出了等效圆柱直径模型的概念,即根据环压应力等效的原则,等代出对应的圆柱直径。此模型力学概念清楚,计算公式简洁。
本文对轴心和偏心两种受力状态进行有限元仿真,研究FRP布和混凝土沿柱截面的应变分布趋势,和拐角曲率半径对应变分布的影响。分别模拟了无滑移和无粘结工况,通过比较这两种极限状态来考虑介于这两种工况中的实际工况。在基本假设的前提下,从横向约束应力的主要参数(即倒角半径对f frp和D这两个参数的影响)着手来考虑拐角效应的影响,从倒角半径以及矩形截面的宽长比两方面考虑对极限承载力的影响,建立了FRP约束带倒角矩形截面混凝土柱的承载力计算公式,
本文对CFRP约束带倒角矩形柱的轴心和偏心受压进行试验,通过试验结果和理论的应变分布及承载力数值的对比分析,表明建立的有限元模型可以很好的模拟应变分布情况。另外,本文还整理了近年来143个圆柱、65个方柱以及36个矩形柱的试验数据,与本文建议公式的理论结果进行分析比较,理论结果与现有实验数据间的误差多在-10%～10%之间,表明本文建议公式有对工程实践有一定的参考价值。
Because of its configuration character and its unique excellent performance behaved in civil engineering, FRP is being widely applied in the reinforce field. The current research is focused on the FRP confined reinforced concrete columns. The models of FRP confined circular, square and rectangular sections based on stress, strain and other relative parameters are proposed recently, but these models still have some limitation and are hard to predict the reality accurately. Proposing a new formula of capacity, this thesis provides a more accurate model to emulate the effect of FRP confined circular, square and rectangular sections.
The intensity model based on traditional triaxial testing results is adopted. Models of reduction coefficient considering the section shape are collected and concluded into three species, that is, corner radius model, effective confined area model, and equivalent confining stress model. According to the principal of equivalent confining stress, the idea of equivalent diameter is proposed for the first time.
The strain distribution along the section and influence affected by corner radius are studied, using finite element analysis software to simulate circumstances under both axial compression and eccentrically load. The actual condition is investigated by simulating non-slip and unbonded conditions. The corner effect is researched from two parts (confining stress and equivalent diameter) which is the main parameter of confining stress, and then, propose suggest formula. Not only the affluence affected by corner radius is taken into account in this formula, but also the ratio of two side length in rectangular specimens.
The axial compression and eccentrically loaded experiments of CFRP-confined rectangular columns with corners are taken in this paper. The strain distribution of experiment and the theoretic results are compared and analyzed. Lots of experiment figures are compared with suggestion formula, which comes to a conclusion that the formula suggested by this paper has an adequate precision for actual project.
引文
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[2] Xinbao Yang,Jun Wei,Antonio Nanni,Lokeswarappa R.Dharani. Shape Effect on the Performance of Carbon Fiber Reinforced Polymer Wraps[J].Journal of Composites for Construction,2004,444-451
[3] 潘景龙,王雨光,来文汇. 混凝土柱截面形状对纤维包裹加固效果的影响[J].工业建筑,2001,31(6):17-19
[4] Teng J G,Chen J F,Smith S T. FRP strengthened RC Structures [M]. England:John Willey & Sons, LTD,2002
[5] 潘景龙,金熙男,王凤来,王雨光,来文汇. 钢筋混凝土轴压短柱包裹纤维材料后的承载性能研究[J].哈尔滨建筑大学学报,2002,35(3):14-19
[6] 肖建庄,龙海燕,石雪飞,宋志远. GFRP对不同断面形状混凝土柱约束性能试验研究[J].玻璃钢/复合材料,2003(4):21-26
[7] 陆新征,冯鹏,叶列平. FRP布约束方形柱轴心受压性能的有限元分析[J].土木工程学报,2003,36(2):46-51
[8] Kurt C E,Concrete filled structural plastic columns[J].Journal of the Structural Division,1978,104(1):55-63
[9] 过镇海. 混凝土的强度和本构关系——原理与应用[M]. 北京:中国建筑工业出版社,2004
[10] Gebran Karam,Mazen Tabbara. Confinement Effectiveness in Rectangular Concrete Columns with Fiber Reinforced Polymer Wraps[J].Journal of Composites for Construction,2005,9(5):388-396
[11] 李静,钱稼茹,蒋剑彪. 纤维布(FS)约束混凝土矩形柱轴心受压试验及非线性有限元分析[J].建筑结构学报,2004,25(2):110-117
[12] G.Campione,N.Miraglia. Strength and strain capacities of concrete compression members reinforced with FRP[J].Cement & Concrete Composites,2003,31-41
[13] 苏骏,梅利芳,王玉岚. CFRP约束混凝土柱受力性能的试验研究[J].建筑技术开发,2005,32(3):54-56
[14] 贾明英,程华. 碳纤维布(CFRP)加固混凝土圆柱约束效应的试验研究[J].四川建筑科学研究,2003,29(1):35-36
[15] L.Lam,J.G.Teng. Ultimate Condition of Fiber Reinforced Polymer-Confined Concrete[J].Journal of Composites for Construction,2004,539-548
[16] 范炜,欧阳煜,许志雄,许强. 碳纤维布约束混凝土的受力性能分析[J].福建建筑,2003,61-63
[17] 赵海东,赵鸣,张誉. 碳纤维布加固钢筋混凝土圆柱的轴心受压试验研究[J].建筑结构,2000,30(7):26-30
[18] L.Lam,J.G.Teng,Strength Models for Fiber-Reinforced Plastic-Confined Concrete[J].Journal of Structural Engineering,2002,612-623
[19] Omar Chaallal,Mohsen Shahawy,Munzer Hassan. Performance of Axially Loaded Short Rectangular Columns Strengthened with Carbon Fiber-Reinforced Polymer Wrapping[J].Journal of Composites for Construction,2003,200-208
[20] 敬登虎. FRP约束方形混凝土柱轴心受压强度模型[J].四川建筑科学研究,2005,31(3):45-47
[21] 卢亦焱,史健勇,赵国藩. 碳纤维布约束轴心受压混凝土方形柱承载力计算研究[J].工程力学,2004,21(4):22-27
[22] 欧阳煜,黄奕辉,钱在姿,顾详林. GFRP片材加固混凝土方柱的轴压试验研究[J].工业建筑,2002,32(6):54-56
[23] 敬登虎. FRP加固矩形RC柱承载力计算[J].特种结构,2004,21(1):62-63
[24] 于清. FRP约束混凝土柱强度承载力计算[J].工业建筑,2000,30(10):31-34
[25] 王苏岩,韩克双. 纤维增强复合材料(FRP)加固混凝土柱的性能研究进展[J].地震工程与工程震动,2004,24(1):97-104
[26] 牛春雷,朱伯龙. 玻璃钢加固对提高偏心受压柱抗压强度的试验研究[J].工业建筑,2004,34(9):95-98
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